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Carl von Ossietzky Universität Oldenburg
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Veranstaltungen

Quantum-classical motion of charged particles interacting with scalar fields

Vortrag im Rahmen des Oberseminars Analysis/Numerik

Speaker: Frau Dr. Shahnaz Farhat (Constructor University Bremen)

 

The goal of this talk is to investigate the dynamics of semi-relativistic or non-relativistic charged particles in interaction with a scalar meson field. Our main contribution is the derivation of the classical dynamics of a particle-field system as an effective equation of the quantum microscopic Nelson model, in the classical limit where the value of the Planck constant approaches zero (0). Thus, we prove the validity of Bohr’s correspondence principle, that is to establish the transition from quantum to classical dynamics. We use a Wigner measure approach to study such transition. Then, as a consequence of this interplay between classical and quantum dynamics, we establish the global wellposedness of the classical particle-field interacting system, despite the low regularity of the related vector field, which prevents the use of a fixed point argument.

 

Der Vortrag findet statt am

Donnerstag, den 11.04.2024 um 14.15 Uhr im Raum W01 0-006

 

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11.04.2024 14:15 – Offenes Ende

Raum W01 0-006

(Stand: 13.05.2024)  | 
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